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Byju's Answer
Standard XII
Mathematics
Using Monotonicity to Find the Range of a Function
The range of ...
Question
The range of the function
f
(
x
)
=
x
+
3
|
x
+
3
|
,
x
≠
−
3
i
s
A
{3,-3}
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B
R-{-3}
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C
all positive integers
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D
{-1,1}
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Solution
The correct option is
D
{-1,1}
f
(
x
)
=
1
w
h
e
n
x
+
3
>
0
f
(
x
)
=
−
1
w
h
e
n
x
+
3
<
0
Range
=
{
−
1
,
1
}
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0
Similar questions
Q.
The range of the function
f
(
x
)
=
x
+
3
|
x
+
3
|
,
x
≠
−
3
i
s
Q.
Given:
f
(
x
)
=
log
x
−
log
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, for
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Q.
Assertion :
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+
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Q.
The function
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)
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Q.
If
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x
)
=
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